question stringlengths 17 149 | answer stringlengths 1 6 | subject stringclasses 6
values | difficulty stringclasses 2
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|---|---|---|---|
A 200 m long train travels at 25 m/s. How many seconds does it take to pass a pole? | 8 | Arithmetic | medium |
Two cars start at the same time and drive toward each other from towns 300 km apart, at 60 km/h and 40 km/h. After how many hours will they meet? | 3 | Arithmetic | medium |
How many trailing zeros does 30! have? | 7 | Number Theory | medium |
What is the sum of the roots of x^2 - 9x + 14 = 0? | 9 | Algebra | easy |
How many positive divisors does 72 have? | 12 | Number Theory | medium |
An isosceles right triangle has hypotenuse of length 8√2. What is the length of each leg? | 8 | Geometry | medium |
Solve for y: 3(y + 4) = 2y + 19. | 7 | Algebra | easy |
Two fair coins are flipped. What is the probability that both show heads? | 1/4 | Probability | easy |
After a 25% discount, a jacket costs $45. What was the original price in dollars? | 60 | Arithmetic | medium |
If 2^x = 128, what is x? | 7 | Algebra | easy |
What is the 10th term of the arithmetic sequence 3, 7, 11, ...? | 39 | Algebra | easy |
What is the product of the roots of 2x^2 - 8x + 6 = 0? | 3 | Algebra | medium |
What is the distance between the points (1, 2) and (7, 10)? | 10 | Geometry | easy |
What is the midpoint of the segment with endpoints (-4, 6) and (8, -2)? | (2, 2) | Geometry | medium |
What is the expected value of a single roll of a fair six-sided die? | 3.5 | Probability | medium |
A triangle has base 14 and height 9. What is its area? | 63 | Geometry | easy |
A square has a diagonal of length 10. What is its area? | 50 | Geometry | medium |
What is the remainder when 7^2023 is divided by 10? | 3 | Number Theory | medium |
What is the value of 1 + 2 + 3 + ... + 100? | 5050 | Number Theory | easy |
Pipe A fills a tank in 6 hours and pipe B fills it in 12 hours. Working together, how many hours do they need to fill the tank? | 4 | Algebra | medium |
What is the smallest positive integer n that leaves a remainder of 2 when divided by 3 and a remainder of 3 when divided by 4? | 11 | Number Theory | medium |
Divide 91 into two parts in the ratio 4:9. What is the larger part? | 63 | Arithmetic | medium |
What is the remainder when 7^2023 is divided by 5? | 3 | Number Theory | medium |
What is tan 45 degrees? | 1 | Geometry | easy |
What is the value of (3^4 x 3^5) / 3^6? | 27 | Algebra | medium |
A right triangle has legs of length 9 and 12. What is the length of the hypotenuse? | 15 | Geometry | easy |
What is the value of floor(17/3)? | 5 | Number Theory | easy |
What is the least common multiple of 12 and 18? | 36 | Number Theory | easy |
If f(x) = x^2 + 1 and g(x) = 2x, what is f(g(3))? | 37 | Algebra | medium |
A two-digit number has digits that sum to 9. Reversing its digits increases the number by 27. What is the number? | 36 | Algebra | medium |
If 3x + y = 23 and x - y = 5, what is the value of 2x? | 14 | Algebra | medium |
A trapezoid has parallel sides of length 10 and 16 and height 6. What is its area? | 78 | Geometry | medium |
How many distinct arrangements are there of the letters of the word CAT? | 6 | Counting | easy |
How many 4-digit numbers can be formed using the digits 1, 2, 3, 4, 5 without repeating any digit? | 120 | Counting | medium |
What is the sum of the first 20 terms of the arithmetic sequence 2, 5, 8, ...? | 610 | Algebra | medium |
What is the area of a rectangle with length 13 and width 7? | 91 | Geometry | easy |
What is the simple interest earned on $2000 at 5% per year for 3 years, in dollars? | 300 | Arithmetic | medium |
Each interior angle of a regular octagon measures how many degrees? | 135 | Geometry | medium |
What is the sum of all solutions to |2x - 6| = 10? | 6 | Algebra | medium |
The roots of x^2 - 5x + 6 = 0 are r and s. What is r^2 + s^2? | 13 | Algebra | medium |
A father is 40 years old and his son is 10. In how many years will the father be exactly 3 times as old as his son? | 5 | Algebra | medium |
The average of four numbers is 15. If three of them are 10, 12, and 22, what is the fourth number? | 16 | Arithmetic | easy |
One machine completes a job in 9 days. A second machine is three times as fast. Working together, how many days will they take? | 9/4 | Algebra | medium |
A car travels 180 km in 2.5 hours. What is its average speed in km/h? | 72 | Arithmetic | easy |
A number is increased by 20% and the result is then decreased by 20%. The final result is what percent of the original number? | 96 | Arithmetic | medium |
How many integers from 1 to 100 inclusive are divisible by 3 or by 5? | 47 | Number Theory | medium |
How many ways can a committee of 3 people be chosen from 10 people? | 120 | Counting | easy |
How many distinct arrangements are there of the letters of the word BANANA? | 60 | Counting | medium |
If x + 2y = 13 and 2x - y = 11, what is x + y? | 10 | Algebra | medium |
In a two-digit number, the tens digit is 2 more than the units digit, and the number equals 6 times the sum of its digits plus 3. What is the number? | 75 | Algebra | medium |
How many liters of a 20% acid solution must be mixed with 10 liters of a 50% acid solution to obtain a 40% acid solution? | 5 | Algebra | medium |
What is the area of a circle with radius 6, in terms of pi? | 36π | Geometry | medium |
If (2x)/3 + 1 = 7, what is the value of x? | 9 | Algebra | easy |
A circle has area 100π. What is its circumference, in terms of pi? | 20π | Geometry | medium |
A price increases from $80 to $92. By what percent did it increase? | 15 | Arithmetic | medium |
Alice can paint a room in 4 hours and Bob can paint it in 6 hours. Working together, how many hours will they take? | 12/5 | Algebra | medium |
At 3:15, what is the measure in degrees of the smaller angle between the hour and minute hands of a clock? | 7.5 | Geometry | medium |
Two fair six-sided dice are rolled. What is the probability that the sum is even? | 1/2 | Probability | easy |
What is the average of 5, 9, 12, and 20? | 11.5 | Arithmetic | easy |
How many ways can 2 toppings be chosen from 8 available toppings? | 28 | Counting | easy |
What is the average of the first 20 positive integers? | 10.5 | Arithmetic | medium |
If (3x - 1)/4 = 5, what is x? | 7 | Algebra | medium |
If x + y = 17 and x - y = 5, what is the value of xy? | 66 | Algebra | medium |
Two fair six-sided dice are rolled. What is the probability that the sum is 7? | 1/6 | Probability | easy |
What is the value of x if 5^(x - 1) = 125? | 4 | Algebra | medium |
The ratio of cats to dogs in a shelter is 3:5, and there are 24 animals in total. How many dogs are there? | 15 | Arithmetic | easy |
What is log_2 64? | 6 | Algebra | easy |
A cyclist rides 120 km to a town at 60 km/h and returns at 40 km/h. What is her average speed for the whole round trip, in km/h? | 48 | Arithmetic | medium |
What is the sum of the digits of 10^6 - 1? | 54 | Number Theory | medium |
a : b = 2 : 7 and a + b = 54. What is the value of 3a? | 36 | Arithmetic | medium |
If 5x - 3 = 22, what is the value of x? | 5 | Algebra | easy |
What is sin 30 degrees? | 1/2 | Geometry | easy |
A line passes through (0, 3) with slope 2. What is the value of y when x = 5? | 13 | Algebra | easy |
What is the smallest prime number greater than 50? | 53 | Number Theory | easy |
What is the sum of the interior angles of a decagon, in degrees? | 1440 | Geometry | medium |
If f(x) = 2x + 1 and f(a) = 11, what is a? | 5 | Algebra | easy |
Maria's average on four tests is 85. What must she score on a fifth test to raise her average to 87? | 95 | Arithmetic | medium |
Two cards are drawn at random without replacement from a standard 52-card deck. What is the probability that both are aces? | 1/221 | Probability | medium |
How many perfect squares are there between 1 and 200 inclusive? | 14 | Number Theory | medium |
What is the sum of the infinite geometric series 8 + 4 + 2 + 1 + ...? | 16 | Algebra | medium |
How many lattice paths go from (0, 0) to (4, 3) moving only right or up? | 35 | Counting | medium |
What is the remainder when 2^10 is divided by 7? | 2 | Number Theory | medium |
What is the greatest common divisor of 84 and 126? | 42 | Number Theory | easy |
What is the minimum value of f(x) = x^2 - 4x + 3? | -1 | Algebra | medium |
A right triangle has a 30 degree angle and hypotenuse of length 10. What is the length of the side opposite the 30 degree angle? | 5 | Geometry | medium |
The solution to 4(x - 2) = 3x + 5 is what value of x? | 13 | Algebra | medium |
The angles of a triangle are in the ratio 1:2:3. What is the measure of the largest angle? | 90 | Geometry | easy |
What is the 8th term of the geometric sequence 3, 6, 12, ...? | 384 | Algebra | medium |
What is the larger root of x^2 - 6x + 8 = 0? | 4 | Algebra | easy |
A bag contains 3 red and 5 blue marbles. One marble is drawn at random. What is the probability it is blue? | 5/8 | Probability | easy |
What is the value of floor(sqrt(200))? | 14 | Number Theory | easy |
The sum of three consecutive integers is 48. What is the largest of the three? | 17 | Number Theory | easy |
What is 30% of 40% of 500? | 60 | Arithmetic | medium |
Two bells toll together, then toll every 12 seconds and every 15 seconds respectively. After how many seconds will they toll together again? | 60 | Number Theory | medium |
What is the remainder when 1234 x 5678 is divided by 9? | 8 | Number Theory | medium |
Tom is currently 4 times as old as Ben. In 8 years, Tom will be twice as old as Ben. How old is Tom now? | 16 | Algebra | medium |
How many prime numbers are there between 10 and 30 inclusive? | 6 | Number Theory | medium |
If 7x + 2 = 4x + 17, what is the value of 3x + 1? | 16 | Algebra | medium |
The sum of four consecutive even integers is 100. What is the smallest? | 22 | Number Theory | medium |
What is log_10 0.001? | -3 | Algebra | medium |
Small, verified mathematics benchmark containing 100 rows made to test mathematical capabilities of small language models under 100M parameters.
Generated by Kimi K2.6 on High reasoning effort and curated, verified, and edited by human experts.
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